64 citations · 250 across the 24 of their papers we have counts for
21 papers · 1 filter
Spectral analysis of the classical Rayleigh-Taylor instability with an upper free surface
Blake Barker, Tien-Tai Nguyen, Benjamin Settle
In this note, we are interested in the linear Rayleigh-Taylor instability problem for the incompressible fluid with an upper free surface. Using the spectral theory of self-adjoint…
Rate-Induced Tipping in a Non-Uniformly Moving Habitat and Determination of the Critical Rate
Blake Barker, Emmanuel Fleurantin, Matt Holzer +2
A habitat that is moving due to environmental change may result in tipping to extinction if the rate at which it moves is too great. We use a scalar reaction-diffusion equation wit…
Asymptotic stability of sharp fronts: Analysis and rigorous computation
Blake Barker, Jared C. Bronski, Vera Mikyoung Hur +1
We investigate the stability of traveling front solutions to nonlinear diffusive-dispersive equations of Burgers type, with a primary focus on the Korteweg-de Vries-Burgers (KdVB)…
Minimizers of a free boundary problem on three-dimensional cones
Mark Allen, Blake Barker, Jason Gardiner +1
We consider a free boundary problem on three-dimensional cones depending on a parameter c and study when the free boundary is allowed to pass through the vertex of the cone. Combin…
Existence and stability of steady noncharacteristic solutions on a finite interval of full compressible Navier-Stokes equations
Blake Barker, Benjamin Melinand, Kevin Zumbrun
We treat the 1D shock tube problem, establishing existence of steady solutions of full (nonisentropic) polytropic gas dynamics with arbitrary noncharacteristic data. We present als…
Transverse bifurcation of viscous slow MHD shocks
Blake Barker, Rafael Monteiro, Kevin Zumbrun
We study by a combination of analytical and numerical Evans function techniques multi-D viscous and inviscid stability and associated transverse bifurcation of planar slow Lax MHD…